825241706640 has 120 divisors (see below), whose sum is σ = 2984624206200. Its totient is φ = 203136417792.

The previous prime is 825241706609. The next prime is 825241706657. The reversal of 825241706640 is 46607142528.

825241706640 is a `hidden beast` number, since 82 + 524 + 1 + 7 + 0 + 6 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22655066256 + 802586640384 = 150516^2 + 895872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44074065 + ... + 44092784.

It is an arithmetic number, because the mean of its divisors is an integer number (24871868385).

Almost surely, 2^825241706640 is an apocalyptic number.

825241706640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825241706640 is an abundant number, since it is smaller than the sum of its proper divisors (2159382499560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825241706640 is a wasteful number, since it uses less digits than its factorization.

825241706640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88166881 (or 88166872 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 825241706640 in words is "eight hundred twenty-five billion, two hundred forty-one million, seven hundred six thousand, six hundred forty".